Scientific Reports

Table 3 Statistics of cross-validation evaluation index.

From: Data-driven prediction of the equivalent sand-grain roughness

No	BPNN						PSO-BPNN
	R²		MAE		MSE		R²		MAE		MSE
	Train	Test	Train	Test	Train	Test	Train	Test	Train	Test	Train	Test
1	0.816	0.319	0.0384	0.0499	0.0024	0.0033	0.853	0.794	0.0316	0.0255	0.0019	0.0010
2	0.619	0.055	0.0505	0.0738	0.0044	0.0095	0.831	0.883	0.0306	0.0280	0.0020	0.0012
3	0.496	0.515	0.0515	0.0701	0.0050	0.0076	0.791	0.753	0.0277	0.0521	0.0021	0.0039
4	0.759	0.700	0.0378	0.0474	0.0025	0.0045	0.903	0.713	0.0220	0.0488	0.0010	0.0043
5	0.870	-0.18	0.0319	0.0654	0.0016	0.0072	0.823	0.593	0.0337	0.0407	0.0021	0.0025
Average	0.712	0.282	0.0420	0.0613	0.0034	0.0064	0.840	0.747	0.0291	0.0390	0.0018	0.0026

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